The circle a² + (y-2a)²-4a² is rotated about the line y=-1 where a > 0. A torus is obtained from this rotation. Determine a if the surface area of the obtained torus is 242. (Hint: Use Pappus Theorem) a)a=2 b)a-1 c)a=3 d)a-4 e) None

The circle a² + (y-2a)²-4a² is rotated about the line y=-1 where a > 0. A torus is obtained from this rotation. Determine a if the surface area of the obtained torus is 242. (Hint: Use Pappus Theorem) a)a=2 b)a-1 c)a=3 d)a-4 e) None

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of...

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Question

The circle z + (y – 2a)² = 4a² is rotated about the line y = -1 where a > 0. A torus is obtained from this
rotation. Determine a if the surface area of the obtained torus is 24x?. (Hint: Use Pappus Theorem)
a)a = 2
b)a = 1
c)a = 3
d)a = 4
e)None

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